4006399070520 has 2560 divisors, whose sum is σ = 18494853949440. Its totient is φ = 758738534400.

The previous prime is 4006399070369. The next prime is 4006399070539. The reversal of 4006399070520 is 250709936004.

It is a happy number.

4006399070520 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 39 + 90 + 7 + 0 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 18987673215 + ... + 18987673425.

It is an arithmetic number, because the mean of its divisors is an integer number (7224552324).

Almost surely, 2^{4006399070520} is an apocalyptic number.

4006399070520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006399070520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247426974720).

4006399070520 is an abundant number, since it is smaller than the sum of its proper divisors (14488454878920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4006399070520 is a wasteful number, since it uses less digits than its factorization.

4006399070520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 4006399070520 in words is "four trillion, six billion, three hundred ninety-nine million, seventy thousand, five hundred twenty".